New general mathematics for ss2

Here are some topics and notes on General Mathematics for SS2 students:

Topic 1: Number Systems

• Real numbers: rational and irrational numbers
• Operations on real numbers: addition, subtraction, multiplication, and division
• Properties of real numbers: commutative, associative, and distributive properties
• Types of numbers: natural numbers, whole numbers, integers, rational numbers, and irrational numbers

Topic 2: Algebra

• Solving linear equations and inequalities
• Graphing linear equations
• Solving quadratic equations using factoring and quadratic formula
• Systems of linear equations

Topic 3: Geometry

• Points, lines, and planes
• Angles: types, measurements, and properties
• Triangles: types, properties, and theorems (e.g. SAS, SSS, ASA)
• Quadrilaterals: types, properties, and theorems (e.g. parallelograms, trapezoids)
• Circles: center, radius, diameter, circumference, and area

Topic 4: Trigonometry

• Angles and their measurements
• Trigonometric ratios: sine, cosine, and tangent
• Solving right triangles using trigonometric ratios
• Identities and formulas: Pythagorean identity, sum and difference formulas

Topic 5: Statistics and Probability

• Data collection and representation: tables, graphs, and charts
• Measures of central tendency: mean, median, and mode
• Measures of variability: range, variance, and standard deviation
• Probability: basic concepts, experimental and theoretical probability

Topic 6: Graphs and Charts

• Types of graphs: line graphs, bar graphs, pie charts, and scatter plots
• Interpreting graphs and charts
• Creating graphs and charts from data

Topic 7: Mensuration

• Perimeter and area of various shapes: triangles, quadrilaterals, circles, and polygons
• Volume and surface area of 3D shapes: cubes, rectangular prisms, and spheres

Topic 8: Financial Mathematics

• Simple and compound interest
• Annuities and perpetuities
• Time value of money: present value and future value

Topic 9: Graph Theory

• Basic concepts: vertices, edges, and graphs
• Types of graphs: directed and undirected graphs
• Graph traversal: DFS and BFS

Topic 10: Combinatorics

• Permutations and combinations
• Binomial theorem and Pascal's triangle
• Counting principles: inclusion-exclusion and complementary counting

These topics and notes should give you a good overview of the General Mathematics curriculum for SS2 students. However, please note that the specific topics and emphasis may vary depending on your school or region.